Understanding Functions and Their Properties

Understanding Functions and Their Properties

Assessment

Interactive Video

Mathematics

8th - 10th Grade

Hard

CCSS
HSF-IF.C.7A, 8.F.A.2, HSF-IF.C.7C

+4

Standards-aligned

Created by

Lucas Foster

FREE Resource

Standards-aligned

CCSS.HSF-IF.C.7A
,
CCSS.8.F.A.2
,
CCSS.HSF-IF.C.7C
CCSS.HSA-SSE.B.3B
,
CCSS.8.EE.C.8B
,
CCSS.HSF.IF.C.9
,
CCSS.HSF-IF.C.8A
,
The video tutorial explains how to determine which function has a greater Y-intercept by evaluating the Y-coordinate when X equals zero. It compares two functions, F(x) and G(x), and identifies their Y-intercepts. The tutorial then explores how to find common roots between functions by factoring and analyzing their equations. Finally, it discusses concavity, explaining how the sign of the coefficient of the squared term in a quadratic function determines whether the graph is concave upwards or downwards.

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10 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the Y-intercept of the function f(x)?

5

4

3

2

Tags

CCSS.8.F.A.2

CCSS.HSF.IF.C.9

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which function has a greater Y-intercept?

f(x)

g(x)

Both have the same

Cannot be determined

Tags

CCSS.HSF-IF.C.7C

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How many roots does the function g(x) have?

4

2

1

3

Tags

CCSS.HSA-SSE.B.3B

CCSS.HSF-IF.C.8A

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What are the roots of the function g(x)?

x = 0 and x = 3

x = 1 and x = -2

x = -3 and x = 2

x = -1 and x = 2

Tags

CCSS.8.EE.C.8B

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How many roots do the functions f(x) and g(x) have in common?

3

2

1

0

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the concavity of the function g(x)?

Cannot be determined

Linear

Concave downwards

Concave upwards

Tags

CCSS.HSF-IF.C.7A

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What determines the concavity of a quadratic function?

The y-intercept

The constant term

The coefficient of x

The coefficient of x^2

Tags

CCSS.HSF-IF.C.7A

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